Color space compression

ABSTRACT

An improved color space (YHB model) for compressing image files is provided. An example method includes storing a sum of an unweighted first color value and an unweighted second color value for each pixel in a plurality of pixels of an image as a first channel, sub sampling, among the plurality of pixels, a difference between the first color value and the second color value as a second channel, sub sampling, among the plurality of pixels, a third color value as a third channel, and storing the first channel, the second channel, and the third channel as the compressed image. In some implementations, the original image may be split into a low frequency version and a high frequency version. The system may apply the YHB model to the high frequency version and apply a conventional model or a second variation of the YHB model to the low frequency version.

RELATED APPLICATIONS

This application is a continuation of, and claims priority to, U.S.application Ser. No. 15/151,941, filed on May 11, 2016, which is anon-provisional of, and claims priority to U.S. Provisional ApplicationNo. 62/159,637, filed on May 11, 2015, entitled “Improved Color SpaceCompression,” the disclosures of which are incorporated herein in theirentirety.

BACKGROUND

Digital images are often captured in an RGB color space with a redcomponent, a green component, and a blue component. To reduce imagesize, some systems use lossy compression, which reduces the amount ofinformation stored for the image. Conventionally lossy compressionincludes keeping intensity information for an image and losing some ofthe color information. One example of lossy compression is the JPEGimage format, which uses a YUV color space, specifically YUV 420. Thiscolor space dates back to the transition of black-and-white TV to thecolor era, carrying luminance information on the Y channel, and chromainformation on the U and V channels. With the separate channels,black-and-white sets could easily separate out the luminanceinformation. The YUV color space also assumes highest spatialsensitivity for a mixture that is highest on the green component.

SUMMARY

Implementations provide an improved color space that allows for muchgreater data compression. The new color space, also referred to as theYHB color space, exploits the anatomy of the human eye to compress colorinformation in an image without losing perception. The YHB color modelgreatly reduces the information kept for the blue component of a colorsignal by keeping the blue component a separate subsampled channel. TheYHB color model also does not favor the green component, unlike currentmodels. Instead, the YHB color space uses additive red and greeninformation for all pixels and the difference between the red and greeninformation for a subsample of pixels. The subsampling rate on the bluechannel and the channel carrying the difference between red and greencan be much higher than subsampling on chroma channels, such as the Uand V channels in the YUV color space.

According to one aspect, a method of generating a compressing an imagethat includes a plurality of pixels includes storing a sum of anunweighted first color value and an unweighted second color value foreach pixel in the plurality of pixels as a first channel, sub sampling,among the plurality of pixels, a difference between the first colorvalue and the second color value as a second channel, sub sampling,among the plurality of pixels, a third color value as a third channel,and storing the first channel, the second channel, and the third channelas the compressed image.

According to one aspect, an image capture device can include a cameraassembly, a processor, and one or more memories. The memories may beconfigured to store images captured by the camera assembly, each imageincluding a plurality of pixels, each pixel having a first color value,a second color value, and a third color value. The memories may also beconfigured to store compressed images and instructions that, whenexecuted by the processor, cause the image capture device to performoperations on an image of the images captured by the camera assembly.The operations may include calculating, for each pixel in the image, asum of the first color value and the second color value, sub sampling,among the plurality of pixels for the image, a difference between thefirst color value and the second color value, subsampling, among theplurality of pixels for the image, a third color value, and storing thesums, the subsampled differences, and the subsampled third color valuesas a compressed image in the memory.

According to one aspect, a method of converting a block of pixels froman image encoded using an RGB color space to a YHB color space includes(a) calculating an intensity value for each pixel in the block bysumming a green component and a red component for the pixel; (b) for afirst subsample of pixels in the block of pixels, calculating a huevalue by determining a difference between the green component and thered component; (c) for a second subsample of pixels in the block pixels,using a blue component for the pixel as a blue value; and (d) storingthe intensity values, the subsampled hue value, and the subsampled bluevalue for the block of pixels.

According to one aspect, a method includes generating a low frequencyversion of an original image and generating a high frequency version ofthe original image. The method also includes compressing the lowfrequency version in a first variation of a YHB color space andcompressing the high frequency version in a second variation of a YHBcolor space.

According to one aspect, a method includes generating a low frequencyversion of an original image captured by a camera assembly, generating ahigh frequency version of the original image, compressing the lowfrequency version in a conventional color model; and compressing thehigh frequency version in a YHB color model.

Another aspect of the disclosure can be embodied on a computer-readablemedium having recorded thereon instructions that, when executed by aprocessor of a computing device, cause the computer device to performany of the disclosed methods, operations, or processes. Another generalaspect includes a system and/or method for lossy compression of an imageusing a sum of a first color channel and a second color channel, andsubsampling of the difference between the first and second colorchannels, and subsampling of a third color channel, substantially asshown in and/or described in connection with at least one of thefigures, and as set forth more completely in the claims disclosedherein.

One or more of the implementations of the subject matter describedherein can be implemented so as to realize one or more of the followingadvantages. As one example, systems and methods provide a compressionrate that is twice as much as current JPEG compression without anoticeable difference to viewers. This size reduction results in muchfaster transmission of images, which is valuable for applications suchas video streaming, which transmit a series of compressed images. Theconversion from RGB to YHB is much simpler and faster to compute thanRGB to YUV, which provides a further benefit for image capturingapplications.

The details of one or more implementations are set forth in theaccompanying drawings and the description below. Other features will beapparent from the description and drawings, and from the claims.

BRIEF DESCRIPTION OF DRAWINGS

FIG. 1 illustrates an example system in accordance with the disclosedsubject matter.

FIG. 2 illustrates another example system in accordance with thedisclosed subject matter.

FIG. 3 illustrates a flow diagram of an example process for compressingimage data, in accordance with an implementation.

FIG. 4 illustrates a flow diagram of an example process for convertingcolor information into the YHB color space, according to animplementation.

FIG. 5 illustrates an example schematic of a 4×4 pixel block encoded inthe YHB color space, according to an implementation.

FIG. 6 illustrates a flow diagram of an example process for transformingcolor information from the YHB color space, according to animplementation.

FIG. 7 shows an example of computer devices that can be used toimplement the described techniques.

Like reference symbols in the various drawings indicate like elements.

DETAILED DESCRIPTION

FIG. 1 is a block diagram of an improved image compression system inaccordance with an example implementation. The system 100 may be used tocompress image information without losing perception. The system 100 isable to achieve more than twice the compression rate of conventionallossy compression without loss of perception, which improves thefunctioning of a computing device by enabling the storage of more imagesusing the same amount of memory. The system also benefits data transferapplications, such as uploading an image from a mobile device to a cloudserver or streaming video from a server to a personal computing device,because more images can be transmitted in the same bandwidth. Theimproved image compression system 100 also improves the image captureand conversion time by reducing the complexity of conversion from theRGB color space into the improved compressed color space (i.e., the YHBcolor space).

The improved image compression system 100 may include a computing device110, which may be a computing device or devices that take the form of anumber of different devices, for example a standard server, a group ofsuch servers, or a rack server system, a personal computing device, amobile computing device, a wearable computing device, a digital camera,a scanner, or any other device that includes a camera. The computingdevice 110 may be an example of computer device 700 or device 750, asdepicted in FIG. 7.

The computing device 110 can include one or more processors 112 formedin a substrate that are configured to execute one or more machineexecutable instructions or pieces of software, firmware, or acombination thereof. The computing device 110 can also include anoperating system (not shown) and one or more computer memories. Thememories can be, for example, a main memory, a cache memory, flashmemory, memory card (e.g., SIM card, SD card, etc.), disk memory, etc.For example, RGB image data 125 may be an example of volatile memory ora non-volatile memory for storing images acquired from the imageacquisition device 115. In another example memory 114 may be mainmemory, cache, disk, a SIM card, or some other non-volatile memory. Inone implementation, the memory 114 may be removably coupled to computingdevice 110. The memories may also include memories configured to storeone or more pieces of data, either temporarily, permanently,semi-permanently, or a combination thereof. In general, memories ofcomputing device 110 may include any type of storage device that storesinformation in a format that can be read and/or executed by the one ormore processors 112.

The memories may store modules that, when executed by the one or moreprocessors 112, perform certain operations. In some implementations, themodules may be stored in an external storage device and loaded into thememory of computing device 110. The modules may include YHB colorconverter 120 and YHB color transformer 130. The YHB color converter 120may take image information in the RGB color space and convert it intothe YHB color space. The RGB color space is based on an additive colormodel. The RGB color space encodes colors in the form of threecomponents, a red component, a green component, and a blue component. Ifall three components are at highest intensity and combined together, theresult is white. When all three components are at lowest intensity, theresult is black. In conventional RGB color space, each component mayrange from 0 (lowest intensity) to 255 (highest intensity). The RGBcolor space produces an array of colors by combining each of thecomponents at differing intensities.

The YHB color space reduces the information stored for an image whilestill retaining perception. In other words, when displayed on a displaydevice, such as display device 117, a human viewer is generally unawareof differences between the image generated from the compressed imagedata and the image generated from the uncompressed image data. Oldercolor models, such as YUV 420, YCbCr, and Y′CbCr, are a practicalapproximation to color processing and perceptual uniformity, but do notmatch the receptor cell densities on the retina. The YHB color modelbetter matches these cell densities. For example, the YHB color spacediffers from older color models in that the blue component has its ownsubsampled channel and green is not emphasized over red and blue. Oldercolor models, such as the YUV 420, YCbCr, and Y′CbCr, color models, useless red accuracy and emphasize the green component at the highestspatial component (e.g. the intensity component). For example, the YUV420 weights the green component almost twice as much as the redcomponent in calculating the intensity channel (i.e., Y channel). Suchemphasis of green in the intensity channel leads to a suboptimalexperience for people with a low green cone count. The YHB color modeldoes not favor the green component providing an image that leads to anequally good experience for all people. The computing device 110 mayinclude image acquisition device 115. The image acquisition device 115may be any type of digital camera and may include components such as alens, a shutter, an image sensor, etc. The image acquisition device 115may also be a scanner. The image acquisition device 115 may beconfigured to acquire images in an RGB color space. The images may be astill picture or a video (i.e., a sequence of images). In someimplementations, the image acquisition device 115 may store an acquiredimage, for example in RGB image data 125. In some implementations, thismay be temporary storage used to provide data to the YHB color converter120. In some implementations, the RGB image data 125 may be non-volatilestorage such that the RGB image data for an acquired image is storeduntil deleted by a user of the computing device 110.

Conventionally, an acquired image has a red, green, and blue componentfor each pixel in the acquired image. The YHB color converter 120 may beconfigured to convert the red, green, and blue components of the RGBimage data 125 (e.g., for each pixel) to an intensity (Y) channel, a hue(H) channel, and a blue (B) channel. In a YHB color space, the intensityvalue (or in other words the value of the intensity channel for a pixel)may be the sum of the red component and the green component for a pixel.In other words, if the image data for a pixel in RGB image data 125 hasa red component of 123, a green component of 253, and a blue componentof 36, the YHB color converter calculates the intensity value for thepixel as (123+253) or 376. Unlike YUV color spaces (including variationslike YCbCr), the intensity value of the YHB color space may lack anyinformation from the blue component. The YHB color converter 120 mayalso calculate the hue (H) value for the pixel (or in other words, thevalue of the hue channel for the pixel) by taking the difference betweenthe red component and the green component. Using the example above, theYHB color converter 120 may calculate the hue value for the pixel as(123−253) or −130. To aid in compression, the YHB color converter 120may subsample the hue channel. Subsampling means that the hue value forsome pixels is not used, e.g., is deleted or thrown out. The number ofhue values discarded for the hue channel depends on the compressionrate. The YHB color space can support a compression rate of 16:1. Thismeans that for every sixteen pixels, the YHB color converter 120 keepsonly one hue value. This is higher than the best compression rate ofJPEG (which has a compression rate of at most 4:1:1), which keeps everyfourth chroma value for the U and V channels.

As indicated above, the first two channels in the YHB color space maylack any information from the blue component. Instead, the YHB colorspace simply takes the blue component and places it in its own channel,the blue (B) channel. Thus, using the example above, the YHB colorconverter 120 sets the blue value of the pixel (e.g., the value of thepixel in the blue channel) to 253. In other words, the blue component isnot mixed with the red and green components of the RGB color space atall. However, the YHB color converter 120 also subsamples the bluechannel. The YHB color space can support a compression rate of 16:1 forthe blue channel and, therefore, may discard the blue value of fifteenof every sixteen pixels. Thus, the subsampling rate of the YHB colorspace can achieve compression ratios of (16:1:1). This compression ratemeans the computing device 110 can transfer less bytes per image and useless memory to store the image. In some implementations, the imageacquisition device 115, the RGB image data 125, and the YHB colorconverter 120 may be considered an image capture device. In someimplementations, the computing device 110 may be considered an imagecapture device.

The YHB color converter 120 may store the subsampled image data, e.g.,in the form of intensity, hue, and blue channels, in memory 114. Thecomputing device may be able to transfer the compressed image data toanother computing device from memory 114, or may recall the image datafrom memory 114 to display on a display device. The computing device 110may use YHB color transformer 130 to convert the image data in the YHBcolor space back into the RGB color space or another color space so thatit can be displayed on the display device 117. The display device 117may be a monitor, a touch screen, a television, or other similar type ofdisplay device. Such a display device may use LEDs, CCFLs, or anotherlight source to produce an image on the display device 117 in colorusing the RGB color space. In some implementations, the display device117 may be a printing device. Printing devices typically use asubtractive model, like CMYK, rather than an additive color space suchas RGB. Therefore, when the display device 117 is an ink-based devicerather than a light-based device, the YHB color transformer 130 mayconvert the YHB channels directly into a subtractive model, such asCMYK, or may convert the YHB color channels to RGB and then from RGB toCMYK.

For example, the YHB color transformer 130 may be configured to receivean image compressed in the YHB format and to transform the intensity,hue, and blue channels back into RGB components. Because each pixel inthe RGB color scheme needs a blue, red, and green value, the YHB colortransformer 130 may be configured to distribute the hue value and bluevalue across subsampled pixels. As discussed above, it is possible forfifteen pixels to have no information for the blue channel and the huechannel. The YHB color transformer 130 thus distributes the subsampledblue value and hue value to pixels missing these values. Thisdistribution may result in invalid values for the red and greencomponents (e.g., a negative value). In some implementations, the YHBcolor transformer 130 may clamp such invalid values to zero. In someimplementations the YHB color transformer 130 may distribute the erroracross neighboring pixels, clamping any invalid values to zero ifneeded. Because the blue value is preserved, the blue channel has noneed for error correction. The YHB color transformer 130 may provide theresulting RGB components to the display device 117. The YHB colortransformer 130 may convert the intensity, hue, and blue values intoanother additive color model or a subtractive color model. Thetechniques for such transformations are understood given the explanationof transforming YHB to RGB disclosed herein.

Although not illustrated in FIG. 1, the computing device 110 can includeother modules or processes that use the images stored in memory 114, theYHB color transformer 130, and the YHB color converter 120. For example,the computing device 110 may include a video editing module, a video orpicture transfer module, a video streaming module, a messaging module oremail module that attaches pictures, etc. The computing device 110 mayinclude other components, not illustrated, for communicating with otherdevices. For example, the computing device 110 may include variousnetwork interface circuitry, such as for example, a mobile networkinterface through which the computing device can communicate with acellular network, a Wi-Fi network interface with which the computingdevice can communicate with a Wi-Fi base station, a Bluetooth networkinterface with which the computing device can communicate with otherBluetooth devices, and/or an Ethernet connection or other wiredconnection that enables the computing device 110 to access a network,such as the Internet or an intranet. The computing device 110 mayinclude other sensors such as, for example, an ambient light sensor, atemperature sensor, an accelerometer, etc.

FIG. 2 illustrates another example system in accordance with thedisclosed subject matter. In the example system 200 of FIG. 2, thecomputing device 110 may transmit an image compressed using the YHBcolor space to another computing device 210 or to a server 270. Thecomputing device 210 has similar components as computing device 110discussed above, although computing device 210 is only illustratedprocessors 212, memory 214, YHB color transformer 230, and displaydevice 217. In the example of FIG. 2, the computing device 110 maycapture an image and may convert the image to the YHB color space, e.g.,using YHB color converter 120. The computing device 110 may thentransfer the compressed image data (e.g., the output of YHB colorconverter 120) to the receiving computing device 210 using conventionaltechniques. In one example, the computing device 110 may transmit thecompressed image data 250 via a network 280. Network 280 may be forexample, the Internet, or the network 280 can be a wired or wirelesslocal area network (LAN), wide area network (WAN), a Bluetoothconnection, etc., implemented using, for example, gateway devices,bridges, switches, and/or so forth. The computing device 210 may receivethe compressed image data 250 and may store a copy of the image. In someimplementations, the YHB color transformer 230 may receive the imagedata and convert it to the RGB color space (or another additive orsubtractive color space) and provide the converted image data to thedisplay device 217 for display. Because the of high compression rate ofthe YHB image data 250, transmission may occur faster than transmissionof the same picture encoded in a different color space, such as YUV orYCbCr.

In some implementations, computing device 110 may provide the compressedimage data 250 to a server 270. The server 270 may be communicativelyconnected to the computing device 110, e.g., via network 280. Server 270is another example of computer device 700, as depicted in FIG. 7, andmay represent a distributed computing network. As one example, theserver 270 may be a server serving as a repository for images for a userof the computing device 110. The server 270 may store the image data 250and can provide it (with consent of the user of computing device 110) tocomputing device 210. In some implementations, the server 270 may be thesource of the compressed image data 250 and may provide the image datato the computing device 110, where the YHB color transformer 130 mayconvert the image data 250 into a format appropriate for display device117. For example, the server 270 may be a media streaming server and mayprovide a video broadcast, compressed using the YHB color space, to thecomputing device 110 for viewing.

FIG. 3 illustrates a flow diagram of an example process 300 forcompressing image data, in accordance with an implementation. Process300 may be performed by an improved image compression system, such assystem 100 of FIG. 1 or 200 of FIG. 2. Process 300 may be performed on asingle computing device or can be completed on different computingdevices, for example with a first computing device performing the firstthree steps and the second device performing the last three steps. Insome implementations, the first three steps may be performed by YHBcolor converter and the last three steps by YHB color transformer.Process 300 begins with receive of image data (305). The image data canrepresent image data acquired by an image acquisition device, such as acamera or scanner. The image data may be in an RGB color space or thesystem may convert the image data to an RGB color space (not shown).

The system may then reduce correlations in the image data (310).Reducing the correlations may be performed on each color channel, e.g.,the red, green, and blue. Conventional color models, such as YCbCr andY′CbCr, are an attempt to remove correlations from the RGB image data,but mix correlations that are spatially different because they entanglethe blue channel into the other channels. The YHB color model separatesout the spatially different correlations, enabling the use of moremodern data compression methods, such as predictions and contextmodeling, to model the correlations. In a prediction model the systemmoves the simple correlations between color components to reflect theproperties of the world in the signal. In other words, prediction findsa linear combination that removes the correlation best. In contextmodeling, the system may store blue statistics at different levels ofintensity, as there could be more blue at low intensity areas and moreyellow in high intensity areas. In some implementations, as a result ofcompressing the image using predictors and/or context modeling, thesystem may use a first codification for blue for dark areas and adifferent codification for blue in bright areas. Such a scheme is notpossible for conventional color spaces as they mix blue into thedifferent channels.

The system may then compress image data by converting the image data tothe YHB color space (315). This is explained in more detail with regardto FIG. 4. FIG. 4 illustrates a flow diagram of an example process 400for converting color information into the YHB color space, according toan implementation. Process 400 may be performed by an improved imagecompression system, such as system 100 of FIG. 1 or 200 of FIG. 2. Insome implementations, the process 400 may be performed by YHB colorconverter 120. In some implementations, the YHB color converter may beincluded in an image acquisition device, such as a camera or scanner.Process 400 may enable an improved image compression system to performlossy compression on image data. The lossy compression of process 400results in a much smaller file than conventional compression and isfaster to compute. Because process 400 results in loss of data, theimages may be best viewed on smaller screens at a high level of zoom.Zooming in on the image when displayed (e.g., after converted back intoRGB) may result in artifacts. Artifacts are distortion caused by lossycompression and occur in other compression formats such as YUV. Process400 may also be referred to as entropy encoding.

Process 400 may begin by receiving RGB data for a pixel (405). Eachpixel in image data may have a red component, a green component, and ablue component with a value that ranges from 0 to 255. In someimplementations, the system may calculate the intensity (or Y) value forthe pixel as the sum of the red and green component values (410). Thesystem may keep this sum for each pixel and, therefore, may add the ycomponent to the output (415). The output is a data file that representsthe compressed image data. In some implementations (not shown), thesystem may calculate the intensity component as the sum of the red,green, and blue component values. Such implementations have fewerartifacts but take longer (are more expensive) to calculate.

The system may then determine whether to capture the hue component(420). As indicated above, the hue component may be subsampled at a rateup to 16:1. This means that for every sixteen pixels only one pixel hasthe hue captured. If the sampling rate is 4:1, then the system capturesthe hue for every fourth pixel. If the system captures the hue (420,Yes), the system may calculate the hue value as the difference betweenthe red and the green component values for the pixel (425). In someimplementations, this may be subtracting the red from the green. In someimplementations, this may be subtracting the green from the red. As longas the compression component (e.g., the YHB color converter) and thetransformer component (e.g., the YHB color transformer) operate the same(e.g., both use red minus green), the system can use either difference.In some implementations, the system may calculate the hue for everypixel and may determine after the calculation whether to capture thehue. In other words, the order of 420 and 425 may be reversed. If thehue is captured, the system may add the hue value to the output (430).If not (420, No), the hue information for the pixel is discarded.

The system may also determine whether to capture the blue component(435). As indicated above, the blue component may also be subsampled ata rate up to 16:1. This means that for every sixteen pixels only onepixel has the blue captured. The sampling rate for blue need not matchthe sampling rate for hue. For example, the sampling rate for hue may be4:1 and the sampling rate for blue may be 16:1. In other words, thesubsampling of the hue channel can occur at a higher rate that thesubsampling of the blue channel. If the system captures the blue (435,Yes), the system may add the blue component value to the output (440).There is no calculation or transformation of the blue component valuebecause it is not combined with the other channels. If the blue is notcaptured (435, No), the blue information for the pixel is discarded.

The system may repeat steps 405 to 440 for the remaining pixels in theinput file (445 Yes). When no more pixels are left for conversion (445,No), process 400 ends. In some implementations, process 400 may beexpressed in terms of a matrix. For example, starting with RGB values,calculating the components of a pixel may be expressed as

$\begin{bmatrix}Y \\H \\B\end{bmatrix} = {\begin{bmatrix}1 & 1 & 0 \\{- 1} & 1 & 0 \\0 & 0 & 1\end{bmatrix} \times \begin{bmatrix}R \\G \\B\end{bmatrix}}$

The system may then determine whether to keep or discard the H and Bvalues. For example, the system may always output the Y value, and mayoutput the H value and the B value according to their correspondingsubsampling rates (e.g., once for every sixteen pixels). The matrixabove calculates the hue as the red component subtracted from the greencomponent. If the system calculates the hue as the green componentsubtracted from red, the values in the middle row, first and secondcolumns would be swapped. As described above, in some implementations,the intensity channel may be the sum of the red, green, and blue values.In this case, the process 400 may calculate the YHB components of thepixel using the matrix equation

$\begin{bmatrix}Y \\H \\B\end{bmatrix} = {\begin{bmatrix}1 & 1 & 1 \\{- 1} & 1 & 0 \\0 & 0 & 1\end{bmatrix} \times \begin{bmatrix}R \\G \\B\end{bmatrix}}$

As indicated above, including the blue in the intensity channel may bemore expensive to calculate (e.g., resulting in slower processingtimes), but will result in less artifacts when zooming into the pictureon the display device. Thus, a tradeoff may be made depending onprocessing time and loss of information.

In some implementations, the system may process a block of pixels. Forexample for every sixteen pixels, the system may save all sixteen Yvalues together and then may save the H values after the sixteen Yvalues, and the B values after the H values. The number of H values andB values saved at the end of the sixteen Y values depends on therespective subsampling rates. Of course, the system may also interspersethe H and B values with the Y values.

FIG. 5 illustrates an example schematic of a 4×4 pixel block encoded inthe YHB color space, according to an implementation. In the example ofFIG. 5, the hue and blue channels are both subsampled at a rate of 16:1.This may also be written as 16:1:1. FIG. 5 illustrates a first pixel 505that has an intensity (Y), a hue (H), and a blue (B) value. Theremaining pixels in the 4×4 block have only the intensity (Y) value. Thesystem may calculate the red, green, and blue components for each pixelin the block based on the values shown. For example, if the systemcalculated the hue by subtracting the green component from the redcomponent, the system may determine the red component for pixel 505 as(435+(−35))/2 or 200. The green component may be calculated as theintensity value minus the red component, 435−200, or 235. The bluecomponent is the same as the blue value, 35. The system may take the hueand blue values of pixel 505 and distribute the values to the remainingpixels in the block when transforming from YHB to RGB. For example forpixel 510, the system may calculate the red component at (436+(−35))/2or 201. This makes the green component 235 (or 436−201). For pixel 515,the system may calculate the red component as 178 (or (391+(−35))/2) andthe green component as 213 (or 391−178). The blue component for pixels510 and 515 may remain 25.

In some implementations, the blue component may be added into theintensity value. Using the example of FIG. 5 in such an implementation,the system may calculate the red component of pixel 510 as(435+(−35)−25)/2 or 188. This makes the green component 223 for pixel510. Similarly, the system may calculate the red component of pixel 515as 165.5 and the green component as 200.5. As indicated earlier, addingthe blue component to the intensity component is slightly more difficultto calculate (and may slightly increase processing time), but reducessome artifacts.

Returning to FIG. 3, at some subsequent time (represented by the dashedline), the system may decompress the image data (320) in preparation fordisplay of the image on a display device. Decompressing image data isexplained in more detail with regard to FIG. 6. FIG. 6 illustrates aflow diagram of an example process 600 for transforming colorinformation from the YHB color space, according to an implementation.Process 600 may be performed by an improved image compression system,such as system 100 of FIG. 1 or system 200 FIG. 2. In someimplementations, the process 600 may be performed by YHB colortransformer 130. In some implementations, the YHB color transformer maybe included in a display device. Process 600 may enable an improvedimage compression system to transform compressed image data into aformat fit for display (e.g., RGB or CYMK). Because some of the imageinformation has been lost, the process 600 may result in artifacts, ordistortions of the image. Such artifacts are typically more noticeablethe larger the image is displayed (e.g., at a greater zoom factor).Thus, the YHB color format may be most beneficial for smaller displaydevices, such as those associated with smart phones, tablets, andwearable devices.

The process 600 may begin by receiving compressed data for a pixel(605). The compressed data may be just an intensity value, or may be anintensity value, a hue value, and a blue value. As described above,because of subsampling not every pixel will have an associated hue valueor blue value, but every pixel does have an intensity value. Thus, aspart of step 605, the system obtains an intensity value for the pixel.If the pixel data includes a hue value (610, Yes), the system may setthe hue value (615). Otherwise (610, No), the system may use the huevalue from a prior pixel. If the pixel data include a new blue value(620, Yes), the system may set the blue value (625). Otherwise (620,No), the system uses a blue value from a previous pixel.

The system may then transform the intensity value, the hue value, andthe blue value into components in the target color system. For example,when transforming from the YHB to RGB color space, the system may setthe green component to the sum of the intensity and the hue values andthen divide the sum by two (630). This works when the YHB convertersubtracted the red value from the green value in calculating the hue. Ofcourse, if the YHB converter subtracted green from red, the sum of theintensity and hue values divided by two may represent the red component.In some implementations, the intensity may be the sum of red, green, andblue. In such implementations, the system may system may first determinethe red value (or green value, depending on the implementation) byadding the intensity and hue values, subtracting the blue value and thendividing the result by two.

The system may then calculate the red value (635). This may beaccomplished by subtracting the green value from the intensity value. Ofcourse, if the red value was calculated as part of step 630, the systemmay calculate the green value as part of step 635. If blue is includedin the intensity, calculating the red value may include furthersubtracting the blue value.

If either of the red or green values are negative (640, Yes), the systemmay clamp the negative value to zero (645), as a negative value is notvalid. In some implementations, the system may determine the amount oferror and distribute the error among neighboring pixels This process canbe referred to as error diffusion and can be performed usingconventional techniques. The system may then provide the calculated RGBcomponents for the pixel (650) to the display device, for example via amemory used by the display device. The system may repeat steps 605 to650 for the remaining pixels in the input file (655, Yes). When no morepixels are left for conversion (655, No), process 600 ends. In someimplementations, process 600 may be expressed in terms of a matrix. Forexample, starting with YHB values, calculating the RGB components of apixel may be expressed as

$\begin{bmatrix}R \\G \\B\end{bmatrix} = {\begin{bmatrix}0.5 & {- 0.5} & 0 \\0.5 & 0.5 & 0 \\0 & 0 & 1\end{bmatrix} \times \begin{bmatrix}Y \\H \\B\end{bmatrix}}$

The matrix above calculates the hue as the red component subtracted fromthe green component. If the system calculates the hue as the greencomponent subtracted from red, the values in the middle row would beswapped with the values in the first row.

Process 600 may be modified when blue is added into the intensitycomponent. For example, when Y=R+B+G and H=G−R, then the system maycalculate the green component as (H+Y−B)/2. The matrix calculation maythen look like

$\begin{bmatrix}R \\G \\B\end{bmatrix} = {\begin{bmatrix}0.5 & {- 0.5} & {- 0.5} \\0.5 & 0.5 & {- 0.5} \\0 & 0 & 1\end{bmatrix} \times \begin{bmatrix}Y \\H \\B\end{bmatrix}}$

Provided with the current disclosure, the system may be modified totransform the YHB color space into another color space, such as CMYK.

Returning to FIG. 3, the system may decorrelate the decompressed imagedata (325). As discussed above with regard to step 310 of FIG. 3, thesystem may have used predictors and/or context modeling on the imagedata, and the system may now apply those same models in reverse. Theimage may then be ready for display on a display device (330).

In some implementations, process 300 may be performed on high frequencycomponents of an original image. For example, the system may generate alow frequency version of the original image and a high frequency versionof the original image using conventional techniques, such as discretewavelet transform. The low frequency version represents a blurredvariation that typically includes about six percent of the informationfrom the original image. The high frequency version represents sharpedges and carries about 94% of the information from the original image.In some implementations, the system may compress the high frequencyversion using the YHB color space. The low frequency version can becompressed using conventional color models (e.g., YUV, YCbCr, andY′CbCr) or using the YHB color model. In implementations where thesystem uses the YHB color mode to encode the low frequency version thesystem may add blue into the intensity channel (i.e., the Y channel).Separation of the image into a low frequency version and a highfrequency version can result in a 3% improvement in compression for lowquality images, such as images used for previews or images for streamingin a mobile environment where quality is sacrificed for higher transferrates.

In an example where the system generates a low frequency version of theoriginal image and a high frequency version of the original image, thesystem may use a first variation of the YHB color model on the lowfrequency version and a different variation of the YHB color model onthe high frequency version. For example, the system may use a rotationmatrix similar to the one below, i.e., a first variation, for the highfrequency version:

[[0.171, −0.0812,0],

[0.08265, 0.168, 0],

[0, 0, 0.271059]]

When the system compresses the low frequency version, the system may usea second variation of the YHB color model. For example, the system mayuse a rotation matrix similar to the one below for the low frequencyversion:

[[0.142, −0.065, 0],

[0.10, 0.12, 0.024],

[0, 0, 0.14]]

The primary difference between the two rotation matrices is the additionof blue (e.g. 0.024) in the hue channel. Other variations of the YHBcolor model may be used depending on normalization techniques used ordifferent color directions for the YHB space.

FIG. 7 shows an example of a generic computer device 700 and a genericmobile computer device 750, which may be used with the techniquesdescribed here. Computing device 700 is intended to represent variousforms of digital computers, such as laptops, desktops, workstations,personal digital assistants, digital cameras, scanners, servers, bladeservers, mainframes, and other appropriate computers. Computing device750 is intended to represent various forms of mobile devices, such aspersonal digital assistants, cellular telephones, smart phones, wearabledevices, such as glasses or watches, digital cameras, and other similarcomputing devices. The components shown here, their connections andrelationships, and their functions, are meant to be exemplary only, andare not meant to limit implementations of the inventions describedand/or claimed in this document.

Computing device 700 includes a processor 702, memory 704, a storagedevice 706, a high-speed interface 708 connecting to memory 704 andhigh-speed expansion ports 710, and a low speed interface 712 connectingto low speed bus 714 and storage device 706. Each of the components 702,704, 706, 708, 710, and 712, are interconnected using various busses,and may be mounted on a common motherboard or in other manners asappropriate. The processor 702 can process instructions for executionwithin the computing device 700, including instructions stored in thememory 704 or on the storage device 706 to display graphical informationfor a GUI on an external input/output device, such as display 716coupled to high speed interface 708. In other implementations, multipleprocessors and/or multiple buses may be used, as appropriate, along withmultiple memories and types of memory. Also, multiple computing devices700 may be connected, with each device providing portions of thenecessary operations (e.g., as a server bank, a group of blade servers,or a multi-processor system).

The memory 704 stores information within the computing device 700. Inone implementation, the memory 704 is a volatile memory unit or units.In another implementation, the memory 704 is a non-volatile memory unitor units. The memory 704 may also be another form of computer-readablemedium, such as a magnetic or optical disk.

The storage device 706 is capable of providing mass storage for thecomputing device 700. In one implementation, the storage device 706 maybe or contain a computer-readable medium, such as a floppy disk device,a hard disk device, an optical disk device, or a tape device, a flashmemory or other similar solid state memory device, or an array ofdevices, including devices in a storage area network or otherconfigurations. A computer program product can be tangibly embodied inan information carrier. The computer program product may also containinstructions that, when executed, perform one or more methods, such asthose described above. The information carrier is a computer- ormachine-readable medium, such as the memory 704, the storage device 706,or memory on processor 702.

The high speed controller 708 manages bandwidth-intensive operations forthe computing device 700, while the low speed controller 712 manageslower bandwidth-intensive operations. Such allocation of functions isexemplary only. In one implementation, the high-speed controller 708 iscoupled to memory 704, display 716 (e.g., through a graphics processoror accelerator), and to high-speed expansion ports 710, which may acceptvarious expansion cards (not shown). In the implementation, low-speedcontroller 712 is coupled to storage device 706 and low-speed expansionport 614. The low-speed expansion port, which may include variouscommunication ports (e.g., USB, Bluetooth, Ethernet, wireless Ethernet)may be coupled to one or more input/output devices, such as a keyboard,a pointing device, a scanner, or a networking device such as a switch orrouter, e.g., through a network adapter.

The computing device 700 may be implemented in a number of differentforms, as shown in the figure. For example, it may be implemented as astandard server 720, or multiple times in a group of such servers. Itmay also be implemented as part of a rack server system 724. Inaddition, it may be implemented in a personal computer such as a laptopcomputer 722 or desktop computer 726. Alternatively, components fromcomputing device 700 may be combined with other components in a mobiledevice (not shown), such as device 750. Each of such devices may containone or more of computing device 700, 750, and an entire system may bemade up of multiple computing devices 700, 750 communicating with eachother.

Computing device 750 includes a processor 752, memory 764, aninput/output device such as a display 754, a communication interface766, and a transceiver 768, among other components. The device 750 mayalso be provided with a storage device, such as a microdrive or otherdevice, to provide additional storage. Each of the components 750, 752,764, 754, 766, and 768, are interconnected using various buses, andseveral of the components may be mounted on a common motherboard or inother manners as appropriate.

The processor 752 can be any processor formed in a substrate that canexecute instructions within the computing device 750, includinginstructions stored in the memory 764. The processor may be implementedas a chipset of chips that include separate and multiple analog anddigital processors. The processor may provide, for example, forcoordination of the other components of the device 750, such as controlof user interfaces, applications run by device 750, and wirelesscommunication by device 750.

Processor 752 may communicate with a user through control interface 758and display interface 756 coupled to a display 754. The display 754 maybe, for example, a TFT LCD (Thin-Film-Transistor Liquid Crystal Display)or an OLED (Organic Light Emitting Diode) display, or other appropriatedisplay technology. The display interface 756 may comprise appropriatecircuitry for driving the display 754 to present graphical and otherinformation to a user. The control interface 758 may receive commandsfrom a user and convert them for submission to the processor 752. Inaddition, an external interface 762 may be in communication withprocessor 752, so as to enable near area communication of device 750with other devices. External interface 762 may provide, for example, forwired communication in some implementations, or for wirelesscommunication in other implementations, and multiple interfaces may alsobe used.

The memory 764 stores information within the computing device 750. Thememory 764 can be implemented as one or more of a computer-readablemedium or media, a volatile memory unit or units, or a non-volatilememory unit or units. Expansion memory 774 may also be provided andconnected to device 750 through expansion interface 772, which mayinclude, for example, a SIMM (Single In Line Memory Module) cardinterface. Such expansion memory 774 may provide extra storage space fordevice 750, or may also store applications or other information fordevice 750. Specifically, expansion memory 774 may include instructionsto carry out or supplement the processes described above, and mayinclude secure information also. Thus, for example, expansion memory 774may be provided as a security module for device 750, and may beprogrammed with instructions that permit secure use of device 750. Inaddition, secure applications may be provided via the SIMM cards, alongwith additional information, such as placing identifying information onthe SIMM card in a non-hackable manner.

The memory may include, for example, flash memory and/or NVRAM memory,as discussed below. In one implementation, a computer program product istangibly embodied in an information carrier. The computer programproduct contains instructions that, when executed, perform one or moremethods, such as those described above. The information carrier is acomputer- or machine-readable medium, such as the memory 764, expansionmemory 774, or memory on processor 752, that may be received, forexample, over transceiver 768 or external interface 762.

Device 750 may communicate wirelessly through communication interface766, which may include digital signal processing circuitry wherenecessary. Communication interface 766 may provide for communicationsunder various modes or protocols, such as GSM voice calls, SMS, EMS, orMMS messaging, CDMA, TDMA, PDC, WCDMA, CDMA2000, or GPRS, among others.Such communication may occur, for example, through radio-frequencytransceiver 768. In addition, short-range communication may occur, suchas using a Bluetooth, WiFi, or other such transceiver (not shown). Inaddition, GPS (Global Positioning System) receiver module 770 mayprovide additional navigation- and location-related wireless data todevice 750, which may be used as appropriate by applications running ondevice 750.

Device 750 may also communicate audibly using audio codec 760, which mayreceive spoken information from a user and convert it to usable digitalinformation. Audio codec 760 may likewise generate audible sound for auser, such as through a speaker, e.g., in a handset of device 750. Suchsound may include sound from voice telephone calls, may include recordedsound (e.g., voice messages, music files, etc.) and may also includesound generated by applications operating on device 750.

The computing device 750 may be implemented in a number of differentforms, as shown in the figure. For example, it may be implemented as acellular telephone 780. It may also be implemented as part of a smartphone 782, personal digital assistant, or other similar mobile device.

Various implementations can include implementation in one or morecomputer programs that are executable and/or interpretable on aprogrammable system including at least one programmable processor, whichmay be special or general purpose, coupled to receive data andinstructions from, and to transmit data and instructions to, a storagesystem, at least one input device, and at least one output device.

These computer programs (also known as programs, software, softwareapplications or code) include machine instructions for a programmableprocessor, and can be implemented in a high-level procedural and/orobject-oriented programming language, and/or in assembly/machinelanguage. As used herein, the terms “machine-readable medium”“computer-readable medium” refers to any non-transitory computer programproduct, apparatus and/or device (e.g., magnetic discs, optical disks,memory (including Read Access Memory), Programmable Logic Devices(PLDs)) used to provide machine instructions and/or data to aprogrammable processor.

The systems and techniques described here can be implemented in acomputing system that includes a back end component (e.g., as a dataserver), or that includes a middleware component (e.g., an applicationserver), or that includes a front end component (e.g., a client computerhaving a graphical user interface or a Web browser through which a usercan interact with an implementation of the systems and techniquesdescribed here), or any combination of such back end, middleware, orfront end components. The components of the system can be interconnectedby any form or medium of digital data communication (e.g., acommunication network). Examples of communication networks include alocal area network (“LAN”), a wide area network (“WAN”), and theInternet.

The computing system can include clients and servers. A client andserver are generally remote from each other and typically interactthrough a communication network. The relationship of client and serverarises by virtue of computer programs running on the respectivecomputers and having a client-server relationship to each other.

According to one aspect, a method of generating a compressing an imagethat includes a plurality of pixels includes storing a sum of anunweighted first color value and an unweighted second color value foreach pixel in the plurality of pixels as a first channel, sub sampling,among the plurality of pixels, a difference between the first colorvalue and the second color value as a second channel, sub sampling,among the plurality of pixels, a third color value as a third channel,and storing the first channel, the second channel, and the third channelas the compressed image.

These and other aspects can include one or more of the followingfeatures. For example, the sum of the first channel may be a sum of thefirst color, the second color, and the third color. As another example,the third color value may be a blue color value. As another example, themethod may also include transmitting the compressed image to a secondcomputing device. As another example, the method may also includegenerating a low frequency version of the image, generating a highfrequency version of the image, compressing the low frequency version ina conventional color model, and compressing the high frequency versionin the YHB color space by storing of the sums, subsampling thedifferences, and subsampling the third color values. As another example,subsampling of the second channel can occurs at a higher rate that thesubsampling of the third channel. As another example, the method mayinclude decoding the compressed image and providing the decoded image toa display device. As another example, the stored sum for a pixel may bean intensity value and the stored subsampled differences may be huevalues and decoding the compressed image can include calculating a firstcolor value as one-half of the sum of the intensity value and acorresponding hue value, calculating a second color value as thedifference between the intensity value and the first color value,determining a third color value from a subsampled third colorcorresponding to the intensity value, and providing the first colorvalue, the second color value, and the third color value for a pixel toa display device.

According to one aspect, an image capture device can include a cameraassembly, a processor, and one or more memories. The memories may beconfigured to store images captured by the camera assembly, each imageincluding a plurality of pixels, each pixel having a first color value,a second color value, and a third color value. The memories may also beconfigured to store compressed images and instructions that, whenexecuted by the processor, cause the image capture device to performoperations on an image of the images captured by the camera assembly.The operations may include calculating, for each pixel in the image, asum of the first color value and the second color value, sub sampling,among the plurality of pixels for the image, a difference between thefirst color value and the second color value, subsampling, among theplurality of pixels for the image, a third color value, and storing thesums, the subsampled differences, and the subsampled third color valuesas a compressed image in the memory.

These and other aspects can include one or more of the followingfeatures. For example, the operations can further include transmittingthe compressed image to a second computing device. In some suchimplementations, the image may be one of a series of images in a videostream. As another example, the subsampling can have a rate of 16:1. Asanother example, the third color value may be a blue color value.

According to one aspect, a method of converting a block of pixels froman image encoded using an RGB color space to a YHB color space includes(a) calculating an intensity value for each pixel in the block bysumming a green component and a red component for the pixel; (b) for afirst subsample of pixels in the block of pixels, calculating a huevalue by determining a difference between the green component and thered component; (c) for a second subsample of pixels in the block pixels,using a blue component for the pixel as a blue value; and (d) storingthe intensity values, the subsampled hue value, and the subsampled bluevalue for the block of pixels.

These and other aspects can include one or more of the followingfeatures. For example, the method may also include repeating (a)-(d) fora plurality of blocks of pixels for the image and generating acompressed version of the image based on the converted blocks of pixelsfor the image. In some such implementations, the method may also includeconverting a stored image from the YHB color space to the RGB colorspace by, converting from the YHB color space to the RGB color space caninclude, for each block of pixels, determining a hue value for theblock, determining a blue value for the block, and for each pixel in theblock, setting the red component to the sum of an intensity value forthe pixel and the hue value for the block divided by two, setting thegreen component to the intensity value minus the red component, andsnapping a negative red component or green component to zero. In somesuch implementations, the method also includes determining an errorbased on the negative red component or negative green component anddistributing the error among neighboring pixels.

As another example, the block of pixels is a 4×4 block and the firstsubsample has a sampling rate of 16:1. As another example, the block ofpixels is a 4×4 block and the first subsample has a sampling ratebetween 4:1 and 16:1. As another example, the block of pixels is a 4×4block and the second subsample has a sampling rate of 16:1. As anotherexample, the image is an original image and the method further includesgenerating a low frequency version of the original image, generating ahigh frequency version of the original image, compressing the lowfrequency version in a conventional color model; and compressing thehigh frequency version in the YHB color space by repeating (a)-(d) forblocks in the high frequency image. As another example, the image is anoriginal image and the method further includes generating a lowfrequency version of the original image, generating a high frequencyversion of the original image, compressing the low frequency version ina first variation of the YHB color space by repeating (a)-(d) for blocksin the low frequency image, and compressing the high frequency versionin a second variation of the YHB color space by repeating (a)-(d) forblocks in the high frequency image.

According to one aspect, a method includes generating a low frequencyversion of an original image and generating a high frequency version ofthe original image. The method also includes compressing the lowfrequency version in a first variation of a YHB color space andcompressing the high frequency version in a second variation of a YHBcolor space.

These and other aspects can include one or more of the followingfeatures. For example, the first variation and the second variation mayrepresent different color directions for the YHB color space. As anotherexample, the first variation and the second variation may representdifferent normalization. As another example, the first variation mayinclude the addition of blue to a hue channel of the YHB color space.

According to one aspect, a method includes generating a low frequencyversion of an original image captured by a camera assembly, generating ahigh frequency version of the original image, compressing the lowfrequency version in a conventional color model; and compressing thehigh frequency version in a YHB color model.

A number of implementations have been described. Nevertheless, variousmodifications may be made without departing from the spirit and scope ofthe invention. In addition, the logic flows depicted in the figures donot require the particular order shown, or sequential order, to achievedesirable results. In addition, other steps may be provided, or stepsmay be eliminated, from the described flows, and other components may beadded to, or removed from, the described systems. Accordingly, otherimplementations are within the scope of the following claims.

1. (canceled)
 2. A non-transitory computer-readable medium storing adigital image, the digital image including a plurality of blocks, eachblock representing a plurality of pixels, the non-transitorycomputer-readable medium storing, for each block of the plurality ofblocks in the digital image: a first color channel, the first colorchannel including, for each pixel in the plurality of pixels, anunweighted sum of a first color value and a second color value for thepixel; a second color channel, the second color channel including, for afirst subsample of the plurality of pixels, a difference between thefirst color value and the second color value; and a third color channel,the third color channel including, for a second subsample of theplurality of pixels, a third color value.
 3. The non-transitorycomputer-readable medium of claim 2, wherein the first color channelincludes an unweighted sum of the first color value, the second colorvalue, and the third color value for the pixel.
 4. The non-transitorycomputer-readable medium of claim 2, wherein the second subsamplerepresents a sampling rate greater than 4:1.
 5. The non-transitorycomputer-readable medium of claim 2, wherein the second subsamplerepresents a sampling rate of 16:1.
 6. The non-transitorycomputer-readable medium of claim 2, wherein the first subsamplerepresents a sampling rate greater than 4:1.
 7. The non-transitorycomputer-readable medium of claim 2, wherein the first color valuerepresents red, the second color value represents green, and the thirdcolor value represents blue.
 8. The non-transitory computer-readablemedium of claim 2, wherein the first color value represents green, thesecond color value represents red, and the third color value representsblue.
 9. A method of converting a compressed digital image to an RGBcolor space, the method comprising: reading an encoded block from thecompressed digital image, the encoded block including pixel data foreach of a plurality of pixels, the pixel data including a first colorchannel value for each pixel, a second color channel value for a firstsubset of pixels, and a third color channel value for a second subset ofpixels; populating a blue component, a red component, and a greencomponent of the RGB color space for each pixel in the plurality ofpixels by, for each pixel: responsive to determining the pixel dataincludes the third color channel value, setting a blue value to thethird color channel value, responsive to determining the pixel dataincludes the second color channel value, setting a hue value to thesecond color channel value, setting the blue component to the bluevalue, setting a green component to a sum of the first color channelvalue and the hue value divided by two, setting a red component to thefirst color channel value minus the green component, and snapping anegative red component or a negative green component to zero; andrepeating the reading and populating for each remaining encoded block inthe compressed digital image.
 10. The method of claim 9, wherein theplurality of pixels is sixteen pixels.
 11. The method of claim 9,wherein the first subset represents a sampling rate greater than 4:1.12. The method of claim 9, wherein the second subset represents asampling rate greater than 4:1.
 13. The method of claim 9, wherein thesecond subset represents a sampling rate of 16:1.
 14. The method ofclaim 9, further comprising, as part of wherein the second subsetrepresents a sampling rate of 16:1.
 15. The method of claim 9, whereinsetting the blue component, the green component, and the red componentis accomplished via matrix multiplication.
 16. The method of claim 15,wherein the matrix multiplication is expressed as $\begin{bmatrix}R \\G \\B\end{bmatrix} = {\begin{bmatrix}0.5 & {- 0.5} & 0 \\0.5 & 0.5 & 0 \\0 & 0 & 1\end{bmatrix} \times \begin{bmatrix}Y \\H \\B\end{bmatrix}}$ where R is the red component, G is the green component,B is the blue component, Y is the first color channel value, H is thehue value, and B is the blue value.
 17. The method of claim 15, whereinthe matrix multiplication is expressed as $\begin{bmatrix}R \\G \\B\end{bmatrix} = {\begin{bmatrix}0.5 & {- 0.5} & {- 0.5} \\0.5 & 0.5 & {- 0.5} \\0 & 0 & 1\end{bmatrix} \times \begin{bmatrix}Y \\H \\B\end{bmatrix}}$ where R is the red component, G is the green component,B is the blue component, Y is the first color channel value, H is thehue value, and B is the blue value.
 18. The method of claim 9, wherein:setting the green component includes dividing by two the sum of thefirst color channel value and the hue value minus the blue value, andsetting the red component includes subtracting the green component andthe blue value from the hue value.
 19. An image processing devicecomprising: a camera assembly; a processor; and one or more memoriesstoring instructions that, when executed by the processor, cause theimage processing device to perform operations including: obtaining adigital image via the camera assembly, the digital image being in an RGBcolor space, and compressing the digital image by, for each block ofpixels in the digital image: (a) calculating an intensity value for eachpixel in the block by summing a red component and a green component forthe pixel; (b) for a first subsample of pixels in the block of pixels,calculating a hue value by determining a difference between the redcomponent and the green component; (c) for a second subsample of pixelsin the block pixels, using a blue component for the pixel as a bluevalue; and (d) storing the intensity values, the hue values for thefirst subsample of pixels, and the blue values for the second subsampleof pixels for the block of pixels.
 20. The image processing device ofclaim 19, wherein calculating the intensity value includes summing thered component, the green component, and the blue component for thepixel.
 21. The image processing device of claim 19, wherein calculatingthe first subsample represents a sampling rate of 16:1 and the secondsubsample represents a sampling rate of 16:1.